Cluster Tilting for One-dimensional Hypersurface Singularities

  title={Cluster Tilting for One-dimensional Hypersurface Singularities},
  author={Osamu Iyama and Bernhard Keller and Idun Reiten},
In this article we study Cohen-Macaulay modules over one-dimensional hypersurface singularities and the relationship with representation theory of associative algebras using methods of cluster tilting theory. We give a criterion for existence of cluster tilting objects and their complete description by homological method using higher almost split sequences and results from birational geometry. We obtain a large class of 2-CY tilted algebras which are finite dimensional symmetric and satisfies… CONTINUE READING

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